Julie made muffins for sale. 55% of the muffins were curry muffins and the rest were egg and lotus paste muffins in the ratio 4 : 1. If a customer bought 65% of the curry muffins and all of the lotus paste muffins, what percentage of the egg muffins must Julie sell for her to maintain the original percentage of curry muffins at first? Leave your answer in decimals and correct to 1 decimal place.
Curry muffins |
Egg muffins |
Lotus paste muffins |
11 u |
9 u |
|
7.2 u |
1.8 u |
|
Curry muffins |
Egg muffins |
Lotus paste muffins |
Total muffins |
Before |
11 u |
7.2 u |
1.8 u |
20 u |
Change |
- 7.15 u |
- 4.05 u |
- 1.8 u |
|
After |
3.85 u |
3.15 u |
0 |
7 u |
55% =
55100 =
112065% =
65100 =
1320 Total number of muffins = 20 u
Number of egg and lotus paste muffins
= 20 u - 11 u
= 9 u
Number of egg muffins at first
=
45 x 9 u
= 7.2 u
Number of lotus paste muffins at first
= 9 u - 7.2 u
= 1.8 u
Number of curry muffins sold
= 65% x 11 u
=
65100 x 11 u
=
1320 x 11 u
= 7.15 u
Number of lotus paste muffins sold
=
15 x 9 u
= 1.8 u
Number of curry muffins left
= 11 u - 7.15 u
= 3.85 u
To maintain the percentage of the curry muffins in the end,
55% → 3.85 u
100% →
3.8555 x 100 = 7 u
Total number of muffins in the end to maintain the original percentage of curry muffins = 7 u
Number of egg muffins left
= 7 u - 3.85 u
= 3.15 u
Number of egg muffins that Julie must sell to maintain the original percentage of curry muffins
= 7.2 u - 3.15 u
= 4.05 u
Percentage of the egg muffins that Julie must sell
=
4.057.2 x 100%
= 56.3%
Answer(s): 56.3%